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Finding the Fourth Proportional to 12,506.16, 18,760.86 and 4,185.84

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Solution

The fourth proportional to 12,506.16, 18,760.86 and 4,185.84 is: 6,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.16 : 18,760.86 = 4,185.84 : x
  2. Step 2: Convert to fraction form
    12,506.16/18,760.86 = 4,185.84/x
  3. Step 3: Cross multiply
    12,506.16x = 18,760.86 × 4,185.84
  4. Step 4: Simplify right side
    12,506.16x = 78,529,958.22
  5. Step 5: Solve for x
    x = 78,529,958.22/12,506.16
  6. Step 6: Final answer
    x = 6,279.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.